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How many terms of the series are needed in order to estimate the exact sum within .01

  • Thread starter kuczmama
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  • #1
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Homework Statement



How many terms of the series

Ʃ (-1)n/(ln(n+1))
n=1
are needed in order to estimate the exact sum within .01

Homework Equations



I know that I need to use the remainder estimate for the integral test where Rn=s-sn

and that ∫ from (n+1) to ∞ of f(x)dx [itex]\leq[/itex] Rn [itex]\leq[/itex] ∫ from (n) to ∞ of f(x)dx



The Attempt at a Solution



I tried to take the integral but I don't know how, and I cant figure out another way to approach the problem
 

Answers and Replies

  • #2
LCKurtz
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I don't think you want to use an integral.

Hint: Don't you have a theorem for alternating series (with certain hypotheses) that compares the error to the first term not included?
 

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